Vortex ring interactions II. Inviscid models

Abstract

In this paper we use two inviscid models to study the interactions between coaxial pairs of vortex rings. One model is based upon the thin-ring approximation, the other is based upon a contour-dynamics approach. Predictions from the two models are in good agreement with one another, and with earlier results obtained from numerical simulations of the Navier-Stokes equations at high Reynolds number.